This would be happen via SharedPreferences, first of all when you just enter your app in the MainActivity create a boolean variable called crash and save it to your SharedPreferences with a value of false, then when catching a crash, just resave this variable with the value true and this will automatically override the crash value stored before.
To save the value:
private void savePreferences(String key, String value) {
    SharedPreferences sharedPreferences = PreferenceManager
            .getDefaultSharedPreferences(this);
    Editor editor = sharedPreferences.edit();
    editor.putBoolean("crash", false);
    editor.commit();
}
To load the saved value:
private void loadSavedPreferences() {
    SharedPreferences sharedPreferences = PreferenceManager
            .getDefaultSharedPreferences(this);
    boolean crash = sharedPreferences.getBoolean("crash", false);
    if(crash){
        // then your app crashed the last time
    }else{
        // then your app worked perfectly the last time
    }
}
So, in your crash handler class, just save the value to true:
p.s. this must run for all unHandled Exceptions whatever from the app of from the OS.
public class CrashHandler extends Application{
    public static Context context;
    public void onCreate(){
        super.onCreate();
        CrashHandler.context = getApplicationContext();
        // Setup handler for uncaught exceptions.
        Thread.setDefaultUncaughtExceptionHandler (new Thread.UncaughtExceptionHandler()
        {
          @Override
          public void uncaughtException (Thread thread, Throwable e)
          {
            handleUncaughtException (thread, e);
          }
        });
    }
    public void handleUncaughtException (Thread thread, Throwable e)
    {
      e.printStackTrace(); // not all Android versions will print the stack trace automatically
      SharedPreferences sharedPreferences = PreferenceManager
                .getDefaultSharedPreferences(context);
        Editor editor = sharedPreferences.edit();
        editor.putBoolean("crash", true);
        editor.commit();
    }
}